the common diiference of an ap is 4 . the last term is 72 and the sum of all terms is 600. find the first term and the number of terms
Answer:
a = - 24 ; n =25
a = 28 ; n = 25
Step-by-step explanation:
n = l - a/d + 1
d = common difference = 4
Last term = l = 72
n = 72 - a/4 + 1
4n = 72 - a + 4
4n = 76 - a
a = 76 - 4n - - - (1)
Sum of terms :
Sn = n/2(a + l)
Sn = 600
600 = n/2(a + 72)
1200 = n(76-4n +72)
1200 = 148n - 4n
4n² - 148n + 1200
Solving the quadratic equation :
Roots of n are :
12 and 25
From (1)
n = 12
a = 76 - 4(12) = 28
n = 25
a = 76 - 4(25) = - 24
Hence,
a = - 24 ; n =25
a = 28 ; n = 25
Please help. What is the answer!?
Answer:
4/19
Step-by-step explanation:
because, in the sequence they are subtracting 3 in each one it goes so, first it was 16-3= 13, 13-3= 10, and so on. Hope I helped :3
What percent's falls between 0.5 and 0.6
***I WILL GIVE BRAINIEST TO THE CORRECT ANSWER**
Latasha and Hercules are collecting drones in a ratio of 5:10. If they collected 270 drones altogether, how many drones did Latasha
collect?
Answer:134 if they both collected half of the drone's
Step-by-step explanation:
270%2=134
State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule
Answer:
c) similar by the AA rule
HELP OMG!! 5+2x twice a number more than 5 ??!!
Answer:
5+2(6)
5+12 = 17
Step-by-step explanation:
Hope this is what you were talking about.
Ms.Poppy has finished grading her student's tests. The scores were the following: 51, 55, 55, 62, 65, 72, 76, 78, 79, 82, 83, 85, 91, and 93
find the meadian
find the mean
Answer:
Meadian: 77
Mean: 73
Step-by-step explanation:
In January Todd was able to lift 127 1/2 lb. In February he could lift 135 lb, and in March he could lift 142 1/2 lb. If he continues at this rate what will Todd be able to lift in July?
Answer:
172 1/2 lb
Step-by-step explanation:
Determine the rate of change per month = lifts lifted in march - lift lifted in February
142 1/2 - 135 = 7 1/2
Determine the number of months from march to July = 4
increase in weight he would be able to carry in 4 months = 7.5 x 4 = 30 lb
weight he would be able to carry in april = 30 + 142 1/2 = 172 1/2
Any helpers? Will give brainliest!!
Answer:
POSITIVE
Step-by-step explanation:
GOT THAT TEST WHEN I WAS 14
Describe all 6 parts, for example, side "a" is one of the legs of the right triangle and is opposite Angle A, which is an acute angle, and side a appears to be the shortest side.
Answer:
The description of the 6 parts of the right triangle ABC are as follows;
The legs of the right triangle are side "a" and side "b"
The hypotenuse side of the right triangle is side "c"
The acute angles are ∠A and ∠B
The 90° angle is ∠C
The description of the 6 parts are therefore given as follows;
1) A; ∠A is the acute angle opposite side "a" and ∠A is formed between the hypotenuse side "c" and the leg "b"
2) B; ∠B is the acute angle opposite side "b" and ∠B is formed between the hypotenuse side "c" and the leg "a"
3) C; ∠C is the 90° angle (right angle) opposite the hypotenuse side "c" and ∠C is formed between the the two legs "a" and "b"
4) a; Side "a" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠A
5) b; Side "b" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠B
6) c; Side "c" is the hypotenuse side of the right triangle ΔABC and it (the hypotenuse side) is (all the time) the longest side of the right triangle and it is the leg opposite to ∠A
Step-by-step explanation:
Sarah used 3.25 meters of fabric to make a costume. How many centimeters of fabric did she use?
Answer:
325 centimeters
Step-by-step explanation:
10. Write an equation in Slope-Intercept Form of the line that is parallel to the graph of
each equation and passes through the given point.
y = 4x + 8
(4,2)
Original slope=
Parallel slope=
Equation=
Answer:
Original slope = 4
Parallel Slope = 4
Equation = y = 4x - 16
Step-by-step explanation:
y = 4x +8
* the slope is the same since it is parallel
2=4(4) + b
2=16 + b
-14=b
y = 4x - 16
no link! Just pls answer
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ A. 120cm ^3
I WOULD APPRICIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
3769.91
PS: it is probably wrong!
I need help with this question.?
Answer:
D
Step-by-step explanation:
just did it
Your challenge . . . Part 1: Your math class is celebrating McNugget Monday and needs to order 531 Chicken McNuggets. If they are sold in packages of 4, 6, 9 and 20, determine TWO possible ways that 531 Chicken McNuggets can be ordered. Be sure to verify your answer.
Part 2: If McDonalds stop making the 6 pack, is there a largest number of Chicken McNuggets that cannot be purchased? If so, what is the number? If not, explain why not?
Answer:
You can get 25 packs of 20 and 3 packs of 9 and 1 4 piece.
OR
59 packs of 9 pieces
PART 2-
No because you can still get a 9 piece and 20 piece.
Step-by-step explanation:
Answer:
24 packs of 20=480
3 packs of 9=27
2 packs of 6=12
3 packs of 4=12
480+27+12+12=531
22 packs of 20=440
8 packs of 9=81
1 pack of 6=6
1 pack of 4=4
440+81+6+4=531
Step-by-step explanation:
Classify the quadrilateral. A. square B. rhombus C. trapezoid D. rectangle also how do you add a picture
Answer:
Hello! Your answer would be, A) Square
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
In the terminal side of an angle in standard position lies on -4y=3x and x>0, find the exact values of the trigonometric functions of 0
Answer:
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
Tan ∅ = - 3/4
sin ∅ = -3/5
cos ∅ =4/5
Step-by-step explanation:
Given : -4y = 3x , x > 0
i.e. 3x + 4y = 0 , x >0
4y = -3x ∴ y = - 3/4 x
The values of trigonometric functions of ∅ are
Tan ∅ = opposite / adjacent
= - 3/4 ( given that y = slope which is = Tan ∅ )
now we will find the hypothenuse ( c )
c^2 = a^2 + b^2 = 9 + 16 = 25
therefore ; c = √25 = 5
hence the trig functions are :
sin ∅ = -3/5
cos ∅ =4/5
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
6 Write the phrase as an algebraic
expression
A number decreased by seven
Answer
x-7
Step-by-step explanation
Let x = unknown number
= x decreased by 7
= x-7
[tex]\huge\text{Hey there!}[/tex]
“ [tex]\large\text{A number decreased by seven}[/tex]”
[tex]\large\text{Whenever you see or hear the word \underline{decrease} in mathematics it usually}\\\large\text{means \underline{SUBTRACT} , so you are taking away a number. You are usually going}\\\large\text{\underline{DOWNWARD}}[/tex]
[tex]\large\text{The phrase \underline{a number} usually means that you have an \underline{unknown variable}}[/tex]
[tex]\large\text{Now that have that little GUIDE for you to follow by for this equation,}\\\large\text{lets ANSWER your given equation}[/tex]
[tex]\large\text{We can say your unknown variable is going to be labeled as \bf s}[/tex]
[tex]\large\text{REMEMBER we said that DECREASED means subtract or taking}\\\large\text{away!}[/tex]
[tex]\large\text{Seven will simply be 7 because you have that information already}\\\large\text{in your algebraic expression}[/tex]
[tex]\large\text{Based on the given information we did, we have reached your answer}[/tex]
[tex]\large\text{= \bf s - 7}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf s - 7}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
the graph shows the function y=3x-1. What are the cordinates of intercepts
Answer:
[tex]y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)[/tex]
Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?
Answer:
Total Money= $250
Fence Price=$22.50/m
Metres can buy= $250/22.50= 11.11 metres
how do i figure out this equation 3(x+4)=-3
hii please help i’ll give brainliest
HELP PLZZ !
Choose all that are correct.
15
The probability of a person being between 25-34 and owning stocks is
118
34
The probability of a person being between 25-34 or owning stocks is
118
Answer: A, C, and D
Step-by-step explanation:
Mr. Liáng made a circular tablecloth to cover the top of a table. If the diameter of the tablecloth measures 50 inches, which measurement is closest to the area of the tablecloth? F 625 in.2 H 3,140 in.? G 1,900 in.? J 7,500 in.2 OF
Answer:
F. 625
Step-by-step explanation:
625 times 2
= 1256
round it to
= 1250
Hope this Helps
Have a nice day
Candice drives a total of 48 miles each day to work and get back home. She works five days a week. Her car gets 21 miles per gallon of gas. About how many gallons of gas does she need to drive to work and back home each week
Answer:
Total gallon of fuel used = [tex]11.428[/tex] gallons
Step-by-step explanation:
Given -
The total distance travelled by car in one gallon of gas = 21 miles
Total distance travelled each day = 48 miles
Number of days days in a week in which Candice drive is 5 days
Total miles travelled per week = [tex]48*5[/tex] = 240 miles
Total gallon of fuel used = [tex]\frac{240}{21} = 11.428[/tex] gallons
find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)
Answer:
p = -4 q = 2
Step-by-step explanation:
Expand the brackets ( yes the entire thing).group together the values with same co-effiecients; like (q+p)x^3 etc etc.equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].sub in this value for the [x^3] equation and ull get an answer for p [p= -4].hope my explanation is understandable lol
HELLLLLLPPPPPPPPPPPPP
Which exponential expression is equivalent to the one below? (6x3)^5
Answer:
Hi! The answer to your question is D. [tex]6^5 * 3^5[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
through: (-5, 4), slope =-3/5
Answer:
y - 4 = (-3/5)(x + 5)
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h)
Here, y - 4 = (-3/5)(x + 5)
Simplify the following using BODMAS
3p + [5 − (2p + 7q)]
Answer:
So frist thing is frist, since we are using the BODMAS. We should start with the numbers in the brackets, simplify the small bracket frist.
3p + [ 5 - (2p + 7q)]
= 3p + (5 - 2p - 7q)
= 3p - 2p - 7q + 5
= p - 7q + 5